SOLUTION: Find the number whose square is 24 more than five times the number.

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Question 946692: Find the number whose square is 24 more than five times the number.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if the number x whose square x%5E2 is 24 more than five times the number 5x, then we have
x%5E2=5x%2B24...solve for x
x%5E2-5x-24=0...factor completely
x%5E2%2B3x-8x-24=0
%28x%5E2%2B3x%29-%288x%2B24%29=0
x%28x%2B3%29-8%28x%2B3%29=0
%28x-8%29%28x%2B3%29+=+0
solutions:

if %28x-8%29+=+0=> highlight%28x=8%29
if %28x%2B3%29+=+0 =>highlight%28x=-3%29
so, highlight%28x=8%29 and highlight%28x=-3%29 are your numbers